Least Common Multiple of 5206 and 5214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5206 and 5214 the smallest integer that is 13572042 that is divisible by both numbers.

Least Common Multiple (LCM) of 5206 and 5214 is 13572042.

LCM(5206,5214) = 13572042

LCM of 5206 and 5214

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5206 and 5214

LCM of 5206 and 5214 is 13572042

Least common multiple can be found by multiplying the highest exponent prime factors of 5206 and 5214. First we will calculate the prime factors of 5206 and 5214.

Prime Factorization of 5206


2 5206
19 2603
137 137
1

Prime factors of 5206 are 2, 19,137. Prime factorization of 5206 in exponential form is:

5206 = 21×191×1371

Prime Factorization of 5214


2 5214
3 2607
11 869
79 79
1

Prime factors of 5214 are 2, 3, 11,79. Prime factorization of 5214 in exponential form is:

5214 = 21×31×111×791

Now multiplying the highest exponent prime factors to calculate the LCM of 5206 and 5214.

LCM(5206,5214) = 21×31×111×191×791×1371
LCM(5206,5214) = 13572042

Factors of 5206

List of positive integer factors of 5206 that divides 5206 without a remainder.

1, 2, 19, 38, 137, 274, 2603, 5206

Factors of 5214

List of positive integer factors of 5214 that divides 5214 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 79, 158, 237, 474, 869, 1738, 2607, 5214

Least Common Multiple of 5206 and 5214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5206 and 5214, than apply into the LCM equation.

GCF(5206,5214) = 2
LCM(5206,5214) = ( 5206 × 5214) / 2
LCM(5206,5214) = 27144084 / 2
LCM(5206,5214) = 13572042

Properties of LCM 5206 and 5214

(i) The LCM of 5214 and 5206 is associative

LCM of 5206 and 5214 = LCM of 5214 and 5206

Related Least Common Multiples of 5206

Related Least Common Multiples of 5214

Frequently Asked Questions on LCM of 5206 and 5214

1. What is the LCM of 5206 and 5214?

Answer: LCM of 5206 and 5214 is 13572042.

2. What are the Factors of 5206?

Answer: Factors of 5206 are 1, 2, 19, 38, 137, 274, 2603, 5206. There are 8 integers that are factors of 5206. The greatest factor of 5206 is 5206.

3. What are the Factors of 5214?

Answer: Factors of 5214 are 1, 2, 3, 6, 11, 22, 33, 66, 79, 158, 237, 474, 869, 1738, 2607, 5214. There are 16 integers that are factors of 5214. The greatest factor of 5214 is 5214.

4. How to Find the LCM of 5206 and 5214?

Answer:

Least Common Multiple of 5206 and 5214 = 13572042

Step 1: Find the prime factorization of 5206

5206 = 2 x 19 x 137

Step 2: Find the prime factorization of 5214

5214 = 2 x 3 x 11 x 79

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 13572042 = 2 x 3 x 11 x 19 x 79 x 137

Step 4: Therefore, the least common multiple of 5206 and 5214 is 13572042.